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The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?
- a)Increase approximately by 8%
- b)Decrease approximately by 8%
- c)Increase approximately by 20%
- d)Decrease approximately by 20%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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The strength of a school increase and decreases every alternate year. ...
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The strength of a school increase and decreases every alternate year. ...
Solution:
Let's assume the initial strength of the school in 1996 to be x.
Year 1996:
The strength of the school in 1996 is x.
Year 1997:
The strength of the school increases by 10%, so the new strength becomes x + 0.1x = 1.1x.
Year 1998:
The strength of the school decreases by 10%, so the new strength becomes 1.1x - 0.1(1.1x) = 1.1x - 0.11x = 0.99x.
Year 1999:
The strength of the school increases by 10% again, so the new strength becomes 0.99x + 0.1(0.99x) = 0.99x + 0.099x = 1.089x.
Year 2000:
The strength of the school decreases by 10%, so the new strength becomes 1.089x - 0.1(1.089x) = 1.089x - 0.1089x = 0.9801x.
Year 2001:
The strength of the school again increases by 10%, so the new strength becomes 0.9801x + 0.1(0.9801x) = 0.9801x + 0.09801x = 1.07811x.
Therefore, the strength of the school in 2001 is approximately 1.07811x.
Now, let's compare the strengths of the school in 2001 and 1996.
The percentage increase in strength from 1996 to 2001 is given by:
((1.07811x - x)/x) * 100 = 0.07811x/x * 100 = 7.811%
Since the percentage increase is approximately 7.811%, the closest option is option A) Increase approximately by 8%.
Hence, the correct answer is option A) Increase approximately by 8%.
Let's assume the initial strength of the school in 1996 to be x.
Year 1996:
The strength of the school in 1996 is x.
Year 1997:
The strength of the school increases by 10%, so the new strength becomes x + 0.1x = 1.1x.
Year 1998:
The strength of the school decreases by 10%, so the new strength becomes 1.1x - 0.1(1.1x) = 1.1x - 0.11x = 0.99x.
Year 1999:
The strength of the school increases by 10% again, so the new strength becomes 0.99x + 0.1(0.99x) = 0.99x + 0.099x = 1.089x.
Year 2000:
The strength of the school decreases by 10%, so the new strength becomes 1.089x - 0.1(1.089x) = 1.089x - 0.1089x = 0.9801x.
Year 2001:
The strength of the school again increases by 10%, so the new strength becomes 0.9801x + 0.1(0.9801x) = 0.9801x + 0.09801x = 1.07811x.
Therefore, the strength of the school in 2001 is approximately 1.07811x.
Now, let's compare the strengths of the school in 2001 and 1996.
The percentage increase in strength from 1996 to 2001 is given by:
((1.07811x - x)/x) * 100 = 0.07811x/x * 100 = 7.811%
Since the percentage increase is approximately 7.811%, the closest option is option A) Increase approximately by 8%.
Hence, the correct answer is option A) Increase approximately by 8%.
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The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The strength of a school increase and decreases every alternate year. It starts with the increase by 10% and thereafter the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the school in 2001 as compared to that in 1996?a)Increase approximately by 8%b)Decrease approximately by 8%c)Increase approximately by 20%d)Decrease approximately by 20%e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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